Home
Class 9
MATHS
In Figure, A B=A CdotB E and C F are res...

In Figure, `A B=A CdotB E` and `C F` are respectively the bisectors of `/_B` and `/_C` . Prove that `E B C=F C Bdot`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    RD SHARMA ENGLISH|Exercise All Questions|306 Videos
  • CONSTRUCTION

    RD SHARMA ENGLISH|Exercise All Questions|40 Videos

Similar Questions

Explore conceptually related problems

In Figure, A B=A CdotB E\ a n d\ C F are respectively the bisectors of /_B and /_C . Prove that E C B \ ~=\ F C B

In Fig. 4.102 (i) and (ii) , if C D and G H (D\ a n d\ H lie on A B and F E ) are respectively bisectors of /_A C B and /_E G F and A B C ~ F E G , prove that (FIGURE) D C A ~ H G F (ii) (C D)/(G H)=(A C)/(F G) (iii) D C B ~ H G E

In Figure, C D and G H are respectively the medians of A B C and E F G . If A B C ~ F E G , prove that (i) A D C ~ F H G (ii) (C D)/(G H)=(A B)/(F E) (iii) C D B ~ G H E

B D and C E are bisectors of /_B and /_C of an isosceles A B C with A B=A Cdot Prove that B D=C Edot

A B C is a triangle is which B E and C F are, respectively, the perpendiculars to the sides A C and A B . If B E=C F , prove that A B C is isosceles.

A B C is a triangle is which B E and C F are, respectively, the perpendiculars to the sides A C and A B . If B E=C F , prove that A B C is isosceles.

If Figure, arms B A\ a n d\ B C\ of /_A B C are respectively parallel to arms E D\ a n d\ E F of /_D E F . Prove that /_A B C=/_D E F .

A D and B E are respectively altitudes of an isosceles triangle A B C with A C=B C . Prove that A E=B Ddot

In Figure, A D\ a n d\ B E are respectively altitudes of an isosceles triangle A B C with A C=B Cdot Prove that A E=B D

In Figure, D ,E and F are, respectively the mid-points of sides B C ,C A and A B of an equilateral triangle A B C . Prove that D E F is also an equilateral triangle.

RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
  1. In Figure, A B=A CdotB E and C F are respectively the bisectors of /B ...

    Text Solution

    |

  2. ABC is an isosceles triangle in which A B""=" "A C . Side BA is pr...

    Text Solution

    |

  3. If any two angles and a non-included side of one triangle are equal ...

    Text Solution

    |

  4. B D and C E are bisectors of /B and /C of an isosceles A B C with A B...

    Text Solution

    |

  5. Two lines A B and C D intersect at O such that B C is equal and parall...

    Text Solution

    |

  6. In Figure, A C=B C ,/D C A=/E C B and /D B C=/E A Cdot Prove that tria...

    Text Solution

    |

  7. If the bisector of the vertical angle of a triangle bisects the base...

    Text Solution

    |

  8. In an isosceles triangle altitude from the vertex bisects the base....

    Text Solution

    |

  9. If the altitude from one vertex of a triangle bisects the opposite ...

    Text Solution

    |

  10. Angles opposite to two equal sides of a triangle are equal. GIVEN :...

    Text Solution

    |

  11. Prove that the perimeter of a triangle is greater than the sum of i...

    Text Solution

    |

  12. In A B C , side A B is produced to D so that B D=b cdot If /B=60^0 an...

    Text Solution

    |

  13. Prove that in a quadrilateral the sum of all the sides is greater t...

    Text Solution

    |

  14. In Figure, P Q R S is a quadrilateral in which diagonals P R and Q S i...

    Text Solution

    |

  15. GIVEN : P Q R S is a quadrilateral. P Q is its longest side and R S ...

    Text Solution

    |

  16. In Figure, A B and CD are respectively the smallest and longest side...

    Text Solution

    |

  17. Of all the line segments drawn from a point P to a line m not containi...

    Text Solution

    |

  18. In Figure, A D is a median and B L ,C M are perpendiculars drawn from ...

    Text Solution

    |

  19. In Figure, B M and D N are both perpendiculars to the segments A C and...

    Text Solution

    |

  20. If A B C is an isosceles triangle with A B=A C . Prove that the ...

    Text Solution

    |